What is the Least Common Multiple of 27161 and 27165?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27161 and 27165 is 737828565.
LCM(27161,27165) = 737828565
Least Common Multiple of 27161 and 27165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27161 and 27165, than apply into the LCM equation.
GCF(27161,27165) = 1
LCM(27161,27165) = ( 27161 × 27165) / 1
LCM(27161,27165) = 737828565 / 1
LCM(27161,27165) = 737828565
Least Common Multiple (LCM) of 27161 and 27165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27161 and 27165. First we will calculate the prime factors of 27161 and 27165.
Prime Factorization of 27161
Prime factors of 27161 are 157, 173. Prime factorization of 27161 in exponential form is:
27161 = 1571 × 1731
Prime Factorization of 27165
Prime factors of 27165 are 3, 5, 1811. Prime factorization of 27165 in exponential form is:
27165 = 31 × 51 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 27161 and 27165.
LCM(27161,27165) = 1571 × 1731 × 31 × 51 × 18111
LCM(27161,27165) = 737828565
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